1 Table of Contents: “.... Partial Differential Equations -- 5. Further Geometric Explorations -- 6. Additional Analytic Topics -- 7...”

2 Table of Contents: “... Real Analyticity -- 5 Results Motivated by Partial Differential Equations -- 5.1 Division...”

3 “... in which it is actually applied, in particular, through complex function theory and partial differential...”

4 “... differential equations, harmonic analysis, differential geometry, and many other parts of mathematics...”

5 “... and inverse function theorems have now blossomed into powerful tools in the theories of partial differential...”

6 “... geometry, partial differential equations, potential theory, abstract algebra, and invariant theory...”

7 “.... It describes all the relevant techniques, from differential geometry to Lie groups to partial differential...”

8 “... differential equations-such as Egorov's canonical transformation theorem-become rather natural when viewed...”

9 “... and inverse function theorems have now blossomed into powerful tools in the theories of partial differential...”